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Finding the Fourth Proportional to 101,983.72, 140,752.74 and 80,424.04

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Solution

The fourth proportional to 101,983.72, 140,752.74 and 80,424.04 is: 110,997.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,983.72 : 140,752.74 = 80,424.04 : x
  2. Step 2: Convert to fraction form
    101,983.72/140,752.74 = 80,424.04/x
  3. Step 3: Cross multiply
    101,983.72x = 140,752.74 × 80,424.04
  4. Step 4: Simplify right side
    101,983.72x = 11,319,903,991.87
  5. Step 5: Solve for x
    x = 11,319,903,991.87/101,983.72
  6. Step 6: Final answer
    x = 110,997.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.